Signals & Systems MCQ

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• For a right hand sequence, the ROC is entire z-plane.
  ক

  True

  খ

  False
• The system y(t) = x(2t) is ______________
  ক

  Invertible with input x(t) and output y(t)

  খ

  Invertible with input x(t)

  গ

  Invertible with output y(t)

  ঘ

  Not invertible
• The system y(t) = 15ex(t) is ___________
  ক

  Stable with input x(t)

  খ

  Stable with output y(t)

  গ

  Stable with both input x(t) as well as output y(t)

  ঘ

  Not stable
• Let a signal a1 sin (ω1 t + φ1) be applied to an astable LTI system. The corresponding output is a2 F sin (ω2 t + φ2). Then which of the following is correct?
  ক

  F is not necessarily a sine or cosine function but must be periodic with ω1=ω2

  খ

  F must be a sine or cosine function with a1 = a2

  গ

  F must be a sine function with ω1=ω2 and φ1 = φ2

  ঘ

  F must be a sine or cosine function with ω1=ω2
• The system y(t) = x3(t) is ___________
  ক

  Stable with input x(t)

  খ

  Stable with output y(t)

  গ

  Stable with both input x(t) as well as output y(t)

  ঘ

  Not stable
• For the signal given below, the region of convergence is ____________
  ক

  ω1 < ω < ω2 in s-plane

  খ

  Entire s-plane

  গ

  Imaginary axis

  ঘ

  Entire s-plane except imaginary axis
• For a stable system which of the following is correct?
  ক

  |z| < 1

  খ

  |z| = 1

  গ

  |z| > 1

  ঘ

  |z| ≠ 1
• The spectral density of white noise is ____________
  ক

  Exponential

  খ

  Uniform

  গ

  Poisson

  ঘ

  Gaussian
• If a system has N different poles, then the system can have ______________
  ক

  N ROC’s

  খ

  (N-1) ROC’s

  গ

  (N+1) ROC’s

  ঘ

  2N ROC’s
• Determine the Nyquist rate of the signal x(t) = 1 + cos⁡ 2000πt + sin⁡ 4000πt.
  ক

  2000 Hz

  খ

  4000 Hz

  গ

  1 Hz

  ঘ

  6000 Hz
• Find the Nyquist rate and Nyquist interval for the signal f(t) = rect(200t).
  ক

  ∞ Hz, 0 sec

  খ

  0 Hz, ∞ sec

  গ

  ∞ Hz, ∞ Hz

  ঘ

  0 Hz, 0 sec
• Which of the following is the process of ‘aliasing’?
  ক

  Peaks overlapping

  খ

  Phase overlapping

  গ

  Amplitude overlapping

  ঘ

  Spectral overlapping
• The Nyquist frequency for the signal x (t) = 3 cos 50πt + 10 sin 300πt – cos 100t is ___________
  ক

  50 Hz

  খ

  100 Hz

  গ

  200 Hz

  ঘ

  300 Hz
• The system described by the difference equation y(n) – 2y(n-1) + y(n-2) = X(n) – X(n-1) has y(n) = 0 and n<0. If x (n) = δ(n), then y (z) will be?
  ক

  2

  খ

  1

  গ

  0

  ঘ

  -1
• A Discrete signal is said to be even or symmetric if X(-n) is equal to __________
  ক

  X(n)

  খ

  0

  গ

  –X(n)

  ঘ

  –X(-n)
• F(t) and G(t) are the one-sided z-transforms of discrete time functions f(nt) and g(nt), the z-transform of ∑f(kt)g(nt-kt) is given by _____________
  ক

  ∑f(nt)g(nt)z-n

  খ

  ∑f(nt)g(nt)zn

  গ

  ∑f(kt)g(nt-kt) z-n

  ঘ

  ∑f(nt-kt)g(nt)z-n
• The time system which operates with a continuous time signal and produces a continuous time output signal is _________
  ক

  CTF system

  খ

  DTF System

  গ

  Time invariant System

  ঘ

  Time variant System
• Given a discrete time signal x defined by x = 1, for -2≤k≤2 and 0, for |k|>2. Then, y = x is ______________ = 1, for k = 0, 1 and 0 otherwise b) y = 1, for k = 1 and -1 for k=-1 c) y = 1, for k = 0, 1 and -1 otherwise d) y = 1, for k = 0, 1 and 0 otherwise
  ক

  defined by x = 1, for -2≤k≤2 and 0, for |k|>2. Then, y = x is ______________ ] y = 1, for k = 0, 1 and 0 otherwise

  খ

  k

  গ

  k

  ঘ

  k
• For a periodic signal () = 30 sin 1000 + 10 cos 3000 + 6 sin(5000 + 4), the fundamental frequency in rad/s is __________
  ক

  1000

  খ

  3000

  গ

  5000

  ঘ

  15000
• The trigonometric Fourier series of an even function of time does not have ___________
  ক

  The dc term

  খ

  The cosine terms

  গ

  The sine terms

  ঘ

  The odd harmonic terms
• The Fourier series of an odd periodic function, contains __________
  ক

  Only odd harmonics

  খ

  Only even harmonics

  গ

  Only cosine terms

  ঘ

  Only sine terms
• If R1 is the region of convergence of x (n) and R2 is the region of convergence of y(n), then the region of convergence of x (n) convoluted y (n) is ___________
  ক

  R1 + R2

  খ

  R1 – R2

  গ

  R1 ∩ R2

  ঘ

  R1 ∪ R2
• If G(f) represents the Fourier Transform of a signal g (t) which is real and odd symmetric in time, then G (f) is ____________
  ক

  Complex

  খ

  Imaginary

  গ

  Real

  ঘ

  Real and non- negative
• The Z transform of δ (n − m) is ___________
  ক

  z-n

  খ

  z-m

  গ

  \(\frac{1}{z-n}\)

  ঘ

  \(\frac{1}{z-m}\)
• S1 and S2 are two DT systems which are connected together to form a new system. Consider the following statements: i) If S1 and S2 are non-causal, then S is non-causal ii) If S1 and/or S2 are unstable, then S is unstable The correct statement from the above is ____________
  ক

  Both i and ii

  খ

  Only i

  গ

  Only ii

  ঘ

  Neither i nor ii
• Find the inverse Fourier transform of f(t)=1.
  ক

  u(t)

  খ

  δ(t)

  গ

  e-t

  ঘ

  \(\frac{1}{jω}\)
• Find the inverse Fourier transform of ej2t.
  ক

  2πδ(ω-2)

  খ

  πδ(ω-2)

  গ

  πδ(ω+2)

  ঘ

  2πδ(ω+2)
• Find the Fourier transform of sinc(t).
  ক

  Gπ (ω)

  খ

  G2π (ω)

  গ

  \(G_{\frac{π}{2}}\) (ω)

  ঘ

  Gπ (-ω)
• Find the Fourier transform of x(t) = f(t – 2) + f(t + 2).
  ক

  2F(ω)cos⁡2ω

  খ

  F(ω)cos⁡2ω

  গ

  2F(ω)sin⁡2ω

  ঘ

  F(ω)sin⁡2ω
• Find the Fourier transform of ejω0t.
  ক

  δ(ω + ω0)

  খ

  2πδ(ω + ω0)

  গ

  δ(ω – ω0)

  ঘ

  2πδ(ω – ω0)